Number Theory & Algebra

Level	Topics
Junior & Senior	Digits and bases Divisibility and rationality Integer exponents and remainders Inequalities Exponents, logarithms, and surds Polynomials, rational functions, and algebraic factorisation Trigonometric functions Composites and Inverses of functions Domain, codomain, and range Sequences, series, and products Kinematics
Senior Only	Complex numbers Hyperbolic functions Parametric equations

Euclidean & Coordinate Geometry

Level	Topics
Junior & Senior	Angle measures The sine and cosine rules Triangles and their centers Special quadrilaterals Similarity and congruence Trigonometric graphs Circle theorems and angle bisector theorem Conic sections 3D geometry and polyhedra Vectors, matrices, and linear transformations Coordinate geometry on the cartesian plane
Senior Only	The complex plane Surface area and volume via Integration Coordinate geometry on the polar plane

Probability & Statistics

Level	Topics
Junior & Senior	Combinatorics Discrete optimisation Events and conditional probability Expected value Measures of location and spread Population vs sample data Visual representation of data Geometric probability Game theory Graph theory Set theory
Senior Only	Probability distributions and random variables Group theory Markov chains

Calculus (Junior Finals & Seniors)

Level	Topics
Junior Finals Only	Polynomial differentiation in context Definite polynomial integration in context
Senior Only	Limits and continuity Continuous optimisation Differentiation Differential equations Parametric and Implicit differentiation Definite and indefinite integration Taylor series